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98916096 = 28337592
BaseRepresentation
bin1011110010101…
…01011100000000
320220010110101010
411321111130000
5200310303341
613452040520
72310526056
oct571253400
9226113333
1098916096
1150921144
1229163140
1317654346
14d1cc1d6
158a3d716
hex5e55700

98916096 has 108 divisors (see below), whose sum is σ = 275036552. Its totient is φ = 31537152.

The previous prime is 98916091. The next prime is 98916101. The reversal of 98916096 is 69061989.

It is an interprime number because it is at equal distance from previous prime (98916091) and next prime (98916101).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98916091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1676515 + ... + 1676573.

Almost surely, 298916096 is an apocalyptic number.

98916096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98916096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137518276).

98916096 is an abundant number, since it is smaller than the sum of its proper divisors (176120456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

98916096 is an equidigital number, since it uses as much as digits as its factorization.

98916096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 48.

The square root of 98916096 is about 9945.6571426930. The cubic root of 98916096 is about 462.4757753078.

The spelling of 98916096 in words is "ninety-eight million, nine hundred sixteen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 59 64 74 96 111 118 128 148 177 192 222 236 256 296 354 384 444 472 592 708 768 888 944 1184 1416 1776 1888 2183 2368 2832 3481 3552 3776 4366 4736 5664 6549 6962 7104 7552 8732 9472 10443 11328 13098 13924 14208 15104 17464 20886 22656 26196 27848 28416 34928 41772 45312 52392 55696 69856 83544 104784 111392 128797 139712 167088 209568 222784 257594 279424 334176 386391 419136 445568 515188 558848 668352 772782 838272 891136 1030376 1336704 1545564 1676544 2060752 2673408 3091128 4121504 6182256 8243008 12364512 16486016 24729024 32972032 49458048 98916096